Identifying Quadratic Relations using 2nd differences (which must be EQUAL to be quadratic!)
Determining the Equation of a Quadratic Relation from a Pattern
For this video below, first listen up to 2:00, then try our method of determining the equation from the table and differences (ignore the method of trial and error that they present) then check your answer at 4:50
For this pattern below, after constructing the table of values (stop video at 4:15 ) , try to construct the equation using our method in class and then check your answer at 11:00 of video (you may find their method a little confusing)
Finding the Equation of a Parabola (or Quadratic Relation) in Vertex Form
video (i)
video (ii)
video (iii)
- Nice summary of Vertex Form ( which is y = a(x - h)^2 + k ) from 11:25 until the end)
- ignore example 3 unless you are feeling ambitious! We did cover this technique in class.
1. Introduction to Quadratic Relations
2. Key Parts of a Parabola
Identifying Quadratic Relations using 2nd differences (which must be EQUAL to be quadratic!)
Determining the Equation of a Quadratic Relation from a Pattern
For this video below, first listen up to 2:00, then try our method of determining the equation from the table and differences (ignore the method of trial and error that they present) then check your answer at 4:50
For this pattern below, after constructing the table of values (stop video at 4:15 ) , try to construct the equation using our method in class and then check your answer at 11:00 of video (you may find their method a little confusing)
Part 2 - Transformations
This is the powerpoint that we did in class
Finding the Equation of a Parabola (or Quadratic Relation) in Vertex Form
video (i)
video (ii)
video (iii)
- Nice summary of Vertex Form ( which is y = a(x - h)^2 + k ) from 11:25 until the end)- ignore example 3 unless you are feeling ambitious! We did cover this technique in class.